Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cc |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
20476108800000 = 216 · 33 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20403,1100402] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:1248:1] |
Generators of the group modulo torsion |
j |
8493409990827/185150000 |
j-invariant |
L |
6.5273974651257 |
L(r)(E,1)/r! |
Ω |
0.68226485695595 |
Real period |
R |
2.3918121458448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490b1 115920ck1 |
Quadratic twists by: -4 -3 |